TSTP Solution File: GEO185+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 05:03:22 EDT 2022

% Result   : Theorem 0.36s 1.45s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 18:10:18 EDT 2022
% 0.22/0.36  % CPUTime  : 
% 0.36/1.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.46  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.46  
% 0.44/1.46  %-----------------------------------------------------
% 0.44/1.46  fof(con, conjecture, ! [_16668, _16671, _16674, _16677] : (distinct_points(_16668, _16671) & convergent_lines(_16674, _16677) & ~ distinct_points(_16668, intersection_point(_16674, _16677)) => ~ apart_point_and_line(_16668, _16674) & ~ apart_point_and_line(_16668, _16677)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.44/1.46  fof(con2, axiom, ! [_16987, _16990, _16993] : (convergent_lines(_16987, _16990) => apart_point_and_line(_16993, _16987) | apart_point_and_line(_16993, _16990) => distinct_points(_16993, intersection_point(_16987, _16990))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.44/1.46  
% 0.44/1.46  cnf(1, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.44/1.46  cnf(2, plain, [distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))], clausify(con)).
% 0.44/1.46  cnf(3, plain, [-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(1 ^ [], 4 ^ []))], clausify(con)).
% 0.44/1.46  cnf(4, plain, [convergent_lines(_8551, _8616), apart_point_and_line(_8680, _8551), -(distinct_points(_8680, intersection_point(_8551, _8616)))], clausify(con2)).
% 0.44/1.46  cnf(5, plain, [convergent_lines(_8551, _8616), apart_point_and_line(_8680, _8616), -(distinct_points(_8680, intersection_point(_8551, _8616)))], clausify(con2)).
% 0.44/1.46  
% 0.44/1.46  cnf('1',plain,[distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))],start(2)).
% 0.44/1.46  cnf('1.1',plain,[-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))), convergent_lines(3 ^ [], 4 ^ []), apart_point_and_line(1 ^ [], 3 ^ [])],extension(4,bind([[_8616, _8680, _8551], [4 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.44/1.46  cnf('1.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.44/1.46  cnf('1.1.2',plain,[-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(1 ^ [], 4 ^ []))],extension(3)).
% 0.44/1.46  cnf('1.1.2.1',plain,[apart_point_and_line(1 ^ [], 4 ^ []), convergent_lines(3 ^ [], 4 ^ []), -(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))],extension(5,bind([[_8680, _8551, _8616], [1 ^ [], 3 ^ [], 4 ^ []]]))).
% 0.44/1.46  cnf('1.1.2.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.44/1.46  cnf('1.1.2.1.2',plain,[distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))],extension(2)).
% 0.44/1.46  %-----------------------------------------------------
% 0.44/1.47  
% 0.44/1.47  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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